Assuming there was a spaceship that could counter-act the effects of falling into a black hole, could a human observe the hole dissipating?

Question

The most common explanation of what would happen to a space-ship that falls into a black hole ends with spaghettification.

However imagine there was a space-ship built out of unobtanium, that could provide enough artificial gravity to counter-act the effects of the black hole on the ship's contents. As the ship is falling into the hole, gravity is increasing, which in turn slows down the relative passage of time. Eventually billions of years pass "on the outside" and the black hole evaporates through Hawking radiation, which reduces the event horizon and allows the ship to escape.

Could this scenario be used to allow a hypothetical astronaut to travel billions of years into the future in the duration of a regular human life?

Answer 1

Here's the thing about spaghettification: there's nothing your ship can do to protect you.

The problem is that spaghettification is caused due to the fact that, near a strong gravitational force, the difference in distance between your feet and the gravitational source and the distance between your head and that gravitational source actually starts to matter. There's an r^2 term in gravitational forces. Your feet will feel a higher acceleration than your head will.

Which means the concept of free-fall breaks down. Your feet will constantly want to accelerate faster than your head will. It is this effect that tears your body to ribbons. It doesn't matter if the spaceship is made of adamantium or unobtanioum, because this effect passes right through it.

To do what you want, you need a source of anti-gravity that is tuned correctly to oppose this effect, or some anti-gravity shielding. Unfortunately, the closer you get to the black hole, the more anti-gravity you have to tune up. Anti-gravity doesn't exist, so science doesn't actually know what it would behave like, but it's reasonable to assume it would cancel out the relativistic gravitational effects as well, so the affected region would find time passes like normal. It probably wouldn't slow down like you want.

If you were try to push this to an extreme, passing through the event horizon, we'd have to sit down and really nail down the math you want for anti-gravity. We'd have to do it at the college physics/general relativity level, and it would be difficult. You'd have lots of infinities and infinitesimals creeping in which would take a lot of work to nail down. And, in the end, my conjecture would be that you'd still find time didn't slow down for you, even after that virtually infinite amount of effort.